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Mathematics
Mathematics
Problem
In a circle, chord RS subtends angles
∠
R
Q
S
=
(
4
x
−
20
)
∘
\angle RQS = (4x-20)^{\circ}
∠
R
QS
=
(
4
x
−
20
)
∘
and
∠
R
P
S
=
(
2
x
+
40
)
∘
\angle RPS = (2x+40)^{\circ}
∠
R
P
S
=
(
2
x
+
40
)
∘
at points Q and P respectively. Points Q and P lie on the same segment of chord RS. If
∠
R
Q
S
\angle RQS
∠
R
QS
is obtuse, calculate
x
x
x
. a)
27
27
27
b)
25
25
25
c)
30
30
30
d)
35
35
35
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